Abstract
The optimal regulator problem of discrete-time systems which contain unilateral time delays is considered. Such systems appear when industrial plants with unilateral flow of materials are sampled. If the time delays are large compared with the sampling period, the computation to obtain the optimal law becomes very difficult due to the large dimensionality of the Riccati equation.
In this paper a method to reduce such computatuional difficulties is presented. First, the optimal regulator problem is solved for a smaller size imaginary system which is obtained by eliminating the time delays of the actual system. Then, the solution is substituted into the formula which yield the solution of the actual system with time delays. The method is applicable to systems with multiple time delays along the signal flow.
